ICSE Class 10 Ratio and Proportion — Mock Test (2027)
Free online mock test for Ratio and Proportion (ICSE Class 10 Mathematics) — 20 competency-based questions based on the latest CISCE 2027 syllabus, with instant marking. Try the samples below, then take the full test free.
What to expect: This mock test covers key concepts from the Ratio and Proportion chapter — including application-based and competency-focused questions aligned with how ICSE actually sets the paper.
Tip: Attempt without notes first to identify gaps, then review explanations for any wrong answers. Retake after a few days for best retention.
Sample questions
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1.If $(x - 9):(3x + 6)$ is the duplicate ratio of $4:9$, find the value of $x$.
- A.15
- B.20
- C.25
- D.30
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2.Divide Rs. 1162 among A, B, and C in the ratio 35:28:20. What is A's share?
- A.Rs. 490
- B.Rs. 350
- C.Rs. 560
- D.Rs. 420
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3.If $a : b = 5 : 3$, find the value of $\frac{5a - 3b}{5a + 3b}$.
- A.$\frac{8}{17}$
- B.$\frac{16}{34}$
- C.$\frac{5}{3}$
- D.$\frac{25}{9}$
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4.If $\frac{x}{a} = \frac{y}{b} = \frac{z}{c}$, which of the following expressions is equal to $\frac{3xyz}{abc}$?
- A.$\frac{x^2}{a^2} = \frac{y^2}{b^2} = \frac{z^2}{c^2}$
- B.$\frac{x^3}{a^3} = \frac{y^3}{b^3} = \frac{z^3}{c^3}$
- C.$\frac{x + y + z}{a + b + c}$
- D.$\frac{xyz}{abc}$
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5.If $x = \frac{\sqrt{a + 1} + \sqrt{a - 1}}{\sqrt{a + 1} - \sqrt{a - 1}}$, using properties of proportion, which of the following equations is shown to be true?
- A.$x^2 - 2ax + 1 = 0$
- B.$x^2 + 2ax + 1 = 0$
- C.$x^2 - 2a + 1 = 0$
- D.$x^2 - ax + 1 = 0$
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